102120112220 has 96 divisors (see below), whose sum is σ = 256050910080. Its totient is φ = 33470438400.

The previous prime is 102120112219. The next prime is 102120112279. The reversal of 102120112220 is 22211021201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102120112195 and 102120112204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285542 + ... + 534578.

It is an arithmetic number, because the mean of its divisors is an integer number (2667196980).

Almost surely, 2^102120112220 is an apocalyptic number.

102120112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128025455040).

102120112220 is an abundant number, since it is smaller than the sum of its proper divisors (153930797860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102120112220 is a wasteful number, since it uses less digits than its factorization.

102120112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249183 (or 249181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120112220 its reverse (22211021201), we get a palindrome (124331133421).

The spelling of 102120112220 in words is "one hundred two billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty".